3 designers x,y and z can stitch 324 dresses in 6 weeks working simultaneously. During one shift, z stitches as many dresses more than y as y stitches more than x. Z’s work in 10 weeks in equivalent to x’s work in 14 weeks. How many dresses does x stitch per shift.
a. 21 b 15 c. 27 d. 18

• x+y+z=324/6=54
  z-y=y-x then z+x=2y
  10z=14x then 5z=7x
  solving the equations we get x=15
• 8 years agoHelpfull: Yes(20) No(0)
• efficiency of z and y are 14 and 10 ( where effic. is inveresely proportional to time)
  
  
  =>the ratio of efficiency is 10:12:14 => 5:6:7 x:y:z take 5k+6k+7k=18k
  
  6(5k+6k+7k)=324
  on simplification we get k=3;
  
  x=5*k=5*3=15
  similarly
  y=18
  
  z= 21
  it satisfies the condition
  ==>z=y+2
  ==> y=x+2
  
  fine!?
• 8 years agoHelpfull: Yes(11) No(3)
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• please give the answer this question...............
  
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